Geometry / Mr. Hansen
4/22/2004 (Earth Day)


Check one:
(1 pt.)

                 Name: __________________________________
c Regular time (24 minutes, all problems)
c Extended time (up to 36 minutes, all problems)

Test on Chapter 12, Portion 1

Instructions and Scoring. Please read carefully before you begin. Check (þ) each item as you read it (1 pt. each).

¨      Do not discuss this test with anyone except Mr. Hansen until the answers are posted on the Web. There are a number of students who may be taking make-up tests.

¨      There will be a 1-point deduction for each unnecessary disturbance during the test: speaking out of turn, asking a question that has already been answered, etc. If you have a question, please raise your hand and keep working until I spot you. This may take a minute. Please do not call out my name, since that creates unnecessary noise. If you see a typographical error, please mark it clearly for extra credit. If you finish early, please leave quietly and unobtrusively.

¨      No calculator is permitted.

¨      There is no partial credit for the multiple-choice questions.

¨      This portion is worth 50 points. Tomorrow’s portion is also worth 50 points. The higher of the two will be doubled.


 

 

Part I: Always, Sometimes, Never. Write A, S, or N depending on whether the statement is always true, sometimes true, or never true. Each question is worth 4 points. Partial credit in the event of wrong answers is possible if you provide a worthy diagram or short explanation of your thinking.

 

 

1. ___

The volume of a right cylinder (in cubic units) equals the area of the base multiplied by the distance measured along a lateral edge.

 

 

 

 

 

 

 

 

2. ___

The volume of a generalized cylinder (in cubic units) equals the area of the base multiplied by the distance measured along a lateral edge.

 

 

 

 

 

 

 

 

3. ___

A map of Washington, D.C., drawn at 1:10,000 scale, has 1 billionth the area of the real city.

 

 

 

 

 

 

 

 

4. ___

A spheroidal planet that has one quarter of the radius of another similarly shaped planet has 1/16 the surface area.

 

 

 

 

 

 

 

 

5. ___

The lateral area of a right regular hexagonal pyramid, where each side of the hexagon is 5 cm, equals 15q cm2, where q is the slant height of each lateral face.

 

 

 

 

 

 

 

 

6. ___

The total surface area of a right circular cone (in square units) is pr multiplied by the sum of the radius and slant height.

 

 

 

 

 

 

 

 

Part II.

Multiple Choice. There is no partial credit. Write the capital letter of the best answer in the blank provided.

 

 

7. ___

A sphere has volume 4p/3 cm3. Find its diameter.

 

 

 

(A) 1
(B) 1 cm
(C) 2

(D) 2 cm
(E) insufficient information to compute

 

 


 

8. ___

A right regular square pyramid has sides of 5 cm and height 12 cm. A frustum is created by removing the top 6 cm (i.e., the remaining height of the frustum is 6 cm). Find Vfrustum.

 

 

 

(A) 25 cm3
(B) 50 cm3
(C) 75 cm3

(D) 100 cm3
(E) none of these

 

 

9. ___

If two figures have perimeters in ratio 2:1, then the volumes of similar prisms that use these figures as bases have ratio . . .

 

 

 

(A) 1:1
(B) 2:1
(C) 4:1

(D) 8:1
(E) 16:1

 

 

10. ___

The surface area of the earth is approximately . . .

 

 

 

(A) 100 million square miles
(B) 200 million square miles
(C) 400 million square miles

(D) 800 million square miles
(E) 2 billion square miles

 

 

11. ___

The lateral area of an ice cream cone having radius 5 cm and height 12 cm is . . .

 

 

 

(A) 60 cm2
(B) 60
p cm2
(C) 65 cm2

(D) 65p cm2
(E) none of these